What is the Greatest Common Factor of 15925 and 15940?

Greatest common factor (GCF) of 15925 and 15940 is 5.

GCF(15925,15940) = 5

We will now calculate the prime factors of 15925 and 15940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15925 and 15940.

How to find the GCF of 15925 and 15940?

We will first find the prime factorization of 15925 and 15940. After we will calculate the factors of 15925 and 15940 and find the biggest common factor number .

Step-1: Prime Factorization of 15925

Prime factors of 15925 are 5, 7, 13. Prime factorization of 15925 in exponential form is:

15925 = 5² × 7² × 13¹

Step-2: Prime Factorization of 15940

Prime factors of 15940 are 2, 5, 797. Prime factorization of 15940 in exponential form is:

15940 = 2² × 5¹ × 797¹

Step-3: Factors of 15925

List of positive integer factors of 15925 that divides 15925 without a remainder.

1, 5, 7, 13, 25, 35, 49, 65, 91, 175, 245, 325, 455, 637, 1225, 2275, 3185

Step-4: Factors of 15940

List of positive integer factors of 15940 that divides 15925 without a remainder.

1, 2, 4, 5, 10, 20, 797, 1594, 3188, 3985, 7970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15925 and 15940. The biggest common factor number is the GCF number.
So the greatest common factor 15925 and 15940 is 5.

Also check out the Least Common Multiple of 15925 and 15940